77388480 has 336 divisors, whose sum is σ = 301203360. Its totient is φ = 18690048.

The previous prime is 77388473. The next prime is 77388481. The reversal of 77388480 is 8488377.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (77388481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460134 + ... + 1460186.

Almost surely, 2^77388480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150601680).

77388480 is an abundant number, since it is smaller than the sum of its proper divisors (223814880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77388480 is a wasteful number, since it uses less digits than its factorization.

77388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 77388480 is about 8797.0722402399. The cubic root of 77388480 is about 426.1463492409.

It can be divided in two parts, 773 and 88480, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 77388480 in words is "seventy-seven million, three hundred eighty-eight thousand, four hundred eighty".